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Finding the Fourth Proportional to 402.99, 556.18 and 228.37

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Solution

The fourth proportional to 402.99, 556.18 and 228.37 is: 315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 556.18 = 228.37 : x
  2. Step 2: Convert to fraction form
    402.99/556.18 = 228.37/x
  3. Step 3: Cross multiply
    402.99x = 556.18 × 228.37
  4. Step 4: Simplify right side
    402.99x = 127,014.83
  5. Step 5: Solve for x
    x = 127,014.83/402.99
  6. Step 6: Final answer
    x = 315.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.